Probabilistic stability analysis of social obesity epidemic by a delayed stochastic model

Aranceta, 2005, Prevalencia de obesidad en españa (Obesity prevalence in Spain), Med. Clin., 125, 460, 10.1157/13079612 Blanchflower, 2009, Imitative obesity and relative utility, J. Eur. Econ. Assoc., 7, 528, 10.1162/JEEA.2009.7.2-3.528 Burkeand, 2007, Social dynamics of obesity, Economic Inquiry, 45, 571, 10.1111/j.1465-7295.2007.00025.x Christakis, 2007, The spread of obesity in a large social network over 32 years, N. Engl. J. Med., 357, 370, 10.1056/NEJMsa066082 Etile, 2007, Social norms, ideal body weight and food attitudes, Health Econ., 16, 945, 10.1002/hec.1251 James, 2001, The worldwide obesity epidemic, Obesity, 9, 228, 10.1038/oby.2001.123 Oswald, 2007, Obesity, unhappiness and the challenge of affluence: theory and evidence, Econom. J., 117, 441 Santonja, 2010, Mathematical modelling of social obesity epidemic in the region of Valencia, Spain, Math. Comput. Model. Dyn. Syst., 16, 23, 10.1080/13873951003590149 Beretta, 1998, Stability of epidemic model with time delays influenced by stochastic perturbations, Math. Comput. Simul., 45, 269, 10.1016/S0378-4754(97)00106-7 Shaikhet, 1998, Stability of predator–prey model with aftereffect by stochastic perturbations, Stab. Control Theory Appl., 1, 3 Bandyopadhyay, 2005, Ratio dependent predator–prey model: effect of environmental fluctuation and stability, Nonlinearity, 18, 913, 10.1088/0951-7715/18/2/022 Carletti, 2002, On the stability properties of a stochastic model for phage–bacteria interaction in open marine environment, Math. Biosci., 175, 117, 10.1016/S0025-5564(01)00089-X Mukhopadhyay, 2009, A nonlinear mathematical model of virus-tumor-immune system interaction: deterministic and stochastic analysis, Stoch. Anal. Appl., 27, 409, 10.1080/07362990802679067 Sarkar, 2005, Cancer self remission and tumor stability—a stochastic approach, Math. Biosci., 196, 65, 10.1016/j.mbs.2005.04.001 Shaikhet, 2011, 370 Shaikhet, 2013, 342 Shaikhet, 2008, Stability of a positive point of equilibrium of one nonlinear system with aftereffect and stochastic perturbations, Dynam. Systems Appl., 17, 235 Santonja, 2012, Analysing social epidemics by delayed stochastic models, Discrete Dyn. Nat. Soc., 13 Gantmacher, 2000, 276